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Finding the Third Proportional to 164,648,619 and 357,993,958.50

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Solution

The third proportional to 164,648,619 and 357,993,958.50 is: 778,382,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648,619 : 357,993,958.50 = 357,993,958.50 : x
  2. Step 2: Convert to fraction form
    164,648,619/357,993,958.50 = 357,993,958.50/x
  3. Step 3: Cross multiply
    164,648,619x = 357,993,958.50 × 357,993,958.50
  4. Step 4: Simplify right side
    164,648,619x = 128,159,674,322,499,728
  5. Step 5: Solve for x
    x = 128,159,674,322,499,728/164,648,619
  6. Step 6: Final answer
    x = 778,382,929.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.